DocumentCode :
1361869
Title :
Grouping, Overlap, and Generalized Bientropic Functions for Fuzzy Modeling of Pairwise Comparisons
Author :
Bustince, Humberto ; Pagola, Miguel ; Mesiar, Radko ; Hüllermeier, Eyke ; Herrera, Francisco
Author_Institution :
Dept. of Autom. & Comput., Public Univ. of Navarra, Pamplona, Spain
Volume :
20
Issue :
3
fYear :
2012
fDate :
6/1/2012 12:00:00 AM
Firstpage :
405
Lastpage :
415
Abstract :
In this paper, we propose new aggregation functions for the pairwise comparison of alternatives in fuzzy preference modeling. More specifically, we introduce the concept of a grouping function, i.e., a specific type of aggregation function that combines two degrees of support (weak preference) into a degree of information or, say, a degree of comparability between two alternatives, and we relate this new concept to that of incomparability. Grouping functions of this type complement the existing concept of overlap functions in a natural way, since the latter can be used to turn two degrees of weak preference into a degree of indifference. We also define the so-called generalized bientropic functions that allow for a unified representation of overlap and grouping functions. Apart from analyzing mathematical properties of these types of functions and exploring relationships between them, we elaborate on their use in fuzzy preference modeling and decision making. We present an algorithm to elaborate on an alternative preference ranking that penalizes those alternatives for which the expert is not sure of his/her preference.
Keywords :
decision making; fuzzy set theory; group theory; mathematical analysis; modelling; decision making; fuzzy preference modeling; generalized bientropic functions; grouping functions; mathematical properties; overlap functions; pairwise comparisons; Decision making; Educational institutions; Electronic mail; Mathematical model; Numerical models; Uncertainty; Decision making; generalized bientropic function; grouping function; incomparability; overlap function; pairwise comparison; preference relations;
fLanguage :
English
Journal_Title :
Fuzzy Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
1063-6706
Type :
jour
DOI :
10.1109/TFUZZ.2011.2173581
Filename :
6060906
Link To Document :
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